Finding the Third Proportional to 352.27 and 726.89

Step by Step Solution

1. Step 1: Write the proportion equation
   352.27 : 726.89 = 726.89 : x
2. Step 2: Convert to fraction form
   352.27/726.89 = 726.89/x
3. Step 3: Cross multiply
   352.27x = 726.89 × 726.89
4. Step 4: Simplify right side
   352.27x = 528,369.98
5. Step 5: Solve for x
   x = 528,369.98/352.27
6. Step 6: Final answer
   x = 1,499.92